Question

5^3x-1=(1/25)^2x+3 resolva a equação exponencial.

Answer 1

$5^{3x - 1} = (\frac{1}{25})^{2x + 3} \\ 5^{3x - 1} = (\frac{1}{5^{2}})^{2x + 3} \\ 5^{3x - 1} = (5^{-2})^{2x + 3} \\ 5^{3x - 1} = 5^{-4x - 6} \\ 3x-1 = -4x-6 \\ 7x = -5\\ x = -\frac{5}{7}$